\documentclass[9pt]{article}
\usepackage{amsmath}
\begin{document}
Read in the following dictionary:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{9}   &  3.0 & + 10.00 x_{1} & -5.00 x_{2} & -5.00 x_{3} & +  3.00 x_{4} & +  3.00 x_{5} &   & +  7.00 x_{7} & -7.00 x_{8}\\
 x_{10}   &  32.0 & -9.00 x_{1} & -4.00 x_{2} & -9.00 x_{3} & -10.00 x_{4} & +  1.00 x_{5} & +  5.00 x_{6} & +  4.00 x_{7} & + 10.00 x_{8}\\
 x_{11}   &  32.0 & -8.00 x_{1} & -5.00 x_{2} & +  7.00 x_{3} & -6.00 x_{4} & -4.00 x_{5} & +  4.00 x_{6} & -6.00 x_{7} & -6.00 x_{8}\\
 x_{12}   &  3.0 & +  3.00 x_{1} & + 10.00 x_{2} & -2.00 x_{3} & -1.00 x_{4} & -9.00 x_{5} & -2.00 x_{6} & -3.00 x_{7} & +  4.00 x_{8}\\
 x_{13}   &  1.0 & -5.00 x_{1} & +  6.00 x_{2} & +  6.00 x_{3} & -1.00 x_{4} & +  8.00 x_{5} & +  3.00 x_{6} & -5.00 x_{7} & -6.00 x_{8}\\
 x_{14}   &  31.0 & -4.00 x_{1} & +  4.00 x_{2} & -4.00 x_{3} & -9.00 x_{4} & -5.00 x_{5} & +  1.00 x_{6} & -7.00 x_{7} & +  9.00 x_{8}\\
 x_{15}   &  39.0 & +  2.00 x_{1} & +  5.00 x_{2} & -8.00 x_{3} & -7.00 x_{4} & -10.00 x_{5} & +  4.00 x_{6} &   & +  2.00 x_{8}\\
 x_{16}   &  0.0 & -7.00 x_{1} & -1.00 x_{2} & +  6.00 x_{3} & -6.00 x_{4} & +  1.00 x_{5} & -2.00 x_{6} & +  4.00 x_{7} & +  3.00 x_{8}\\
 x_{17}   &  8.0 & +  6.00 x_{1} & -5.00 x_{2} & +  9.00 x_{3} & -5.00 x_{4} & +  2.00 x_{5} &   & -8.00 x_{7} & -6.00 x_{8}\\
\hline
z    &  0.0 & -3.00 x_{1} & -3.00 x_{2} & -1.00 x_{3} & -1.00 x_{4} & -5.00 x_{5} & +  5.00 x_{6} & -4.00 x_{7} & +  5.00 x_{8}\\
\end{array}\]
No initialization required --> Proceed to Optimize. 
\section{Optimization Phase Simplex}
Starting Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{9}   &  3.0 & + 10.00 x_{1} & -5.00 x_{2} & -5.00 x_{3} & +  3.00 x_{4} & +  3.00 x_{5} &   & +  7.00 x_{7} & -7.00 x_{8}\\
 x_{10}   &  32.0 & -9.00 x_{1} & -4.00 x_{2} & -9.00 x_{3} & -10.00 x_{4} & +  1.00 x_{5} & +  5.00 x_{6} & +  4.00 x_{7} & + 10.00 x_{8}\\
 x_{11}   &  32.0 & -8.00 x_{1} & -5.00 x_{2} & +  7.00 x_{3} & -6.00 x_{4} & -4.00 x_{5} & +  4.00 x_{6} & -6.00 x_{7} & -6.00 x_{8}\\
 x_{12}   &  3.0 & +  3.00 x_{1} & + 10.00 x_{2} & -2.00 x_{3} & -1.00 x_{4} & -9.00 x_{5} & -2.00 x_{6} & -3.00 x_{7} & +  4.00 x_{8}\\
 x_{13}   &  1.0 & -5.00 x_{1} & +  6.00 x_{2} & +  6.00 x_{3} & -1.00 x_{4} & +  8.00 x_{5} & +  3.00 x_{6} & -5.00 x_{7} & -6.00 x_{8}\\
 x_{14}   &  31.0 & -4.00 x_{1} & +  4.00 x_{2} & -4.00 x_{3} & -9.00 x_{4} & -5.00 x_{5} & +  1.00 x_{6} & -7.00 x_{7} & +  9.00 x_{8}\\
 x_{15}   &  39.0 & +  2.00 x_{1} & +  5.00 x_{2} & -8.00 x_{3} & -7.00 x_{4} & -10.00 x_{5} & +  4.00 x_{6} &   & +  2.00 x_{8}\\
 x_{16}   &  0.0 & -7.00 x_{1} & -1.00 x_{2} & +  6.00 x_{3} & -6.00 x_{4} & +  1.00 x_{5} & -2.00 x_{6} & +  4.00 x_{7} & +  3.00 x_{8}\\
 x_{17}   &  8.0 & +  6.00 x_{1} & -5.00 x_{2} & +  9.00 x_{3} & -5.00 x_{4} & +  2.00 x_{5} &   & -8.00 x_{7} & -6.00 x_{8}\\
\hline
z    &  0.0 & -3.00 x_{1} & -3.00 x_{2} & -1.00 x_{3} & -1.00 x_{4} & -5.00 x_{5} & +  5.00 x_{6} & -4.00 x_{7} & +  5.00 x_{8}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{16} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{9}   &  3.0 & + 10.00 x_{1} & -5.00 x_{2} & -5.00 x_{3} & +  3.00 x_{4} & +  3.00 x_{5} &   & +  7.00 x_{7} & -7.00 x_{8}\\
 x_{10}   &  32.0 & -26.50 x_{1} & -6.50 x_{2} & +  6.00 x_{3} & -25.00 x_{4} & +  3.50 x_{5} & -2.50 x_{16} & + 14.00 x_{7} & + 17.50 x_{8}\\
 x_{11}   &  32.0 & -22.00 x_{1} & -7.00 x_{2} & + 19.00 x_{3} & -18.00 x_{4} & -2.00 x_{5} & -2.00 x_{16} & +  2.00 x_{7} &   \\
 x_{12}   &  3.0 & + 10.00 x_{1} & + 11.00 x_{2} & -8.00 x_{3} & +  5.00 x_{4} & -10.00 x_{5} & +  1.00 x_{16} & -7.00 x_{7} & +  1.00 x_{8}\\
 x_{13}   &  1.0 & -15.50 x_{1} & +  4.50 x_{2} & + 15.00 x_{3} & -10.00 x_{4} & +  9.50 x_{5} & -1.50 x_{16} & +  1.00 x_{7} & -1.50 x_{8}\\
 x_{14}   &  31.0 & -7.50 x_{1} & +  3.50 x_{2} & -1.00 x_{3} & -12.00 x_{4} & -4.50 x_{5} & -0.50 x_{16} & -5.00 x_{7} & + 10.50 x_{8}\\
 x_{15}   &  39.0 & -12.00 x_{1} & +  3.00 x_{2} & +  4.00 x_{3} & -19.00 x_{4} & -8.00 x_{5} & -2.00 x_{16} & +  8.00 x_{7} & +  8.00 x_{8}\\
 x_{6}   &  0.0 & -3.50 x_{1} & -0.50 x_{2} & +  3.00 x_{3} & -3.00 x_{4} & +  0.50 x_{5} & -0.50 x_{16} & +  2.00 x_{7} & +  1.50 x_{8}\\
 x_{17}   &  8.0 & +  6.00 x_{1} & -5.00 x_{2} & +  9.00 x_{3} & -5.00 x_{4} & +  2.00 x_{5} &   & -8.00 x_{7} & -6.00 x_{8}\\
\hline
z    &  0.0 & -20.50 x_{1} & -5.50 x_{2} & + 14.00 x_{3} & -16.00 x_{4} & -2.50 x_{5} & -2.50 x_{16} & +  6.00 x_{7} & + 12.50 x_{8}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{12} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{9}   &  1.125 & +  3.75 x_{1} & -11.88 x_{2} & +  0.62 x_{12} & -0.12 x_{4} & +  9.25 x_{5} & -0.62 x_{16} & + 11.38 x_{7} & -7.62 x_{8}\\
 x_{10}   &  34.25 & -19.00 x_{1} & +  1.75 x_{2} & -0.75 x_{12} & -21.25 x_{4} & -4.00 x_{5} & -1.75 x_{16} & +  8.75 x_{7} & + 18.25 x_{8}\\
 x_{11}   &  39.125 & +  1.75 x_{1} & + 19.12 x_{2} & -2.38 x_{12} & -6.12 x_{4} & -25.75 x_{5} & +  0.38 x_{16} & -14.62 x_{7} & +  2.38 x_{8}\\
 x_{3}   &  0.375 & +  1.25 x_{1} & +  1.38 x_{2} & -0.12 x_{12} & +  0.62 x_{4} & -1.25 x_{5} & +  0.12 x_{16} & -0.88 x_{7} & +  0.12 x_{8}\\
 x_{13}   &  6.625 & +  3.25 x_{1} & + 25.12 x_{2} & -1.88 x_{12} & -0.62 x_{4} & -9.25 x_{5} & +  0.38 x_{16} & -12.12 x_{7} & +  0.38 x_{8}\\
 x_{14}   &  30.625 & -8.75 x_{1} & +  2.12 x_{2} & +  0.12 x_{12} & -12.62 x_{4} & -3.25 x_{5} & -0.62 x_{16} & -4.12 x_{7} & + 10.38 x_{8}\\
 x_{15}   &  40.5 & -7.00 x_{1} & +  8.50 x_{2} & -0.50 x_{12} & -16.50 x_{4} & -13.00 x_{5} & -1.50 x_{16} & +  4.50 x_{7} & +  8.50 x_{8}\\
 x_{6}   &  1.125 & +  0.25 x_{1} & +  3.62 x_{2} & -0.38 x_{12} & -1.12 x_{4} & -3.25 x_{5} & -0.12 x_{16} & -0.62 x_{7} & +  1.88 x_{8}\\
 x_{17}   &  11.375 & + 17.25 x_{1} & +  7.38 x_{2} & -1.12 x_{12} & +  0.62 x_{4} & -9.25 x_{5} & +  1.12 x_{16} & -15.88 x_{7} & -4.88 x_{8}\\
\hline
z    &  5.25 & -3.00 x_{1} & + 13.75 x_{2} & -1.75 x_{12} & -7.25 x_{4} & -20.00 x_{5} & -0.75 x_{16} & -6.25 x_{7} & + 14.25 x_{8}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{9} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  0.0947368421053 & +  0.32 x_{1} & -0.08 x_{9} & +  0.05 x_{12} & -0.01 x_{4} & +  0.78 x_{5} & -0.05 x_{16} & +  0.96 x_{7} & -0.64 x_{8}\\
 x_{10}   &  34.4157894737 & -18.45 x_{1} & -0.15 x_{9} & -0.66 x_{12} & -21.27 x_{4} & -2.64 x_{5} & -1.84 x_{16} & + 10.43 x_{7} & + 17.13 x_{8}\\
 x_{11}   &  40.9368421053 & +  7.79 x_{1} & -1.61 x_{9} & -1.37 x_{12} & -6.33 x_{4} & -10.85 x_{5} & -0.63 x_{16} & +  3.69 x_{7} & -9.91 x_{8}\\
 x_{3}   &  0.505263157895 & +  1.68 x_{1} & -0.12 x_{9} & -0.05 x_{12} & +  0.61 x_{4} & -0.18 x_{5} & +  0.05 x_{16} & +  0.44 x_{7} & -0.76 x_{8}\\
 x_{13}   &  9.00526315789 & + 11.18 x_{1} & -2.12 x_{9} & -0.55 x_{12} & -0.89 x_{4} & + 10.32 x_{5} & -0.95 x_{16} & + 11.94 x_{7} & -15.76 x_{8}\\
 x_{14}   &  30.8263157895 & -8.08 x_{1} & -0.18 x_{9} & +  0.24 x_{12} & -12.65 x_{4} & -1.59 x_{5} & -0.74 x_{16} & -2.09 x_{7} & +  9.01 x_{8}\\
 x_{15}   &  41.3052631579 & -4.32 x_{1} & -0.72 x_{9} & -0.05 x_{12} & -16.59 x_{4} & -6.38 x_{5} & -1.95 x_{16} & + 12.64 x_{7} & +  3.04 x_{8}\\
 x_{6}   &  1.46842105263 & +  1.39 x_{1} & -0.31 x_{9} & -0.18 x_{12} & -1.16 x_{4} & -0.43 x_{5} & -0.32 x_{16} & +  2.85 x_{7} & -0.45 x_{8}\\
 x_{17}   &  12.0736842105 & + 19.58 x_{1} & -0.62 x_{9} & -0.74 x_{12} & +  0.55 x_{4} & -3.51 x_{5} & +  0.74 x_{16} & -8.81 x_{7} & -9.61 x_{8}\\
\hline
z    &  6.55263157895 & +  1.34 x_{1} & -1.16 x_{9} & -1.03 x_{12} & -7.39 x_{4} & -9.29 x_{5} & -1.47 x_{16} & +  6.92 x_{7} & +  5.42 x_{8}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{10} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  0.683880171184 & -0.02 x_{10} & -0.09 x_{9} & +  0.04 x_{12} & -0.37 x_{4} & +  0.73 x_{5} & -0.08 x_{16} & +  1.14 x_{7} & -0.35 x_{8}\\
 x_{1}   &  1.86562054208 & -0.05 x_{10} & -0.01 x_{9} & -0.04 x_{12} & -1.15 x_{4} & -0.14 x_{5} & -0.10 x_{16} & +  0.57 x_{7} & +  0.93 x_{8}\\
 x_{11}   &  55.4690442225 & -0.42 x_{10} & -1.67 x_{9} & -1.65 x_{12} & -15.31 x_{4} & -11.97 x_{5} & -1.41 x_{16} & +  8.10 x_{7} & -2.67 x_{8}\\
 x_{3}   &  3.64736091298 & -0.09 x_{10} & -0.13 x_{9} & -0.11 x_{12} & -1.33 x_{4} & -0.42 x_{5} & -0.12 x_{16} & +  1.39 x_{7} & +  0.81 x_{8}\\
 x_{13}   &  29.8707560628 & -0.61 x_{10} & -2.21 x_{9} & -0.95 x_{12} & -13.78 x_{4} & +  8.72 x_{5} & -2.06 x_{16} & + 18.26 x_{7} & -5.37 x_{8}\\
 x_{14}   &  15.7540656205 & +  0.44 x_{10} & -0.11 x_{9} & +  0.52 x_{12} & -3.33 x_{4} & -0.44 x_{5} & +  0.07 x_{16} & -6.66 x_{7} & +  1.51 x_{8}\\
 x_{15}   &  33.2536376605 & +  0.23 x_{10} & -0.68 x_{9} & +  0.10 x_{12} & -11.61 x_{4} & -5.76 x_{5} & -1.52 x_{16} & + 10.20 x_{7} & -0.96 x_{8}\\
 x_{6}   &  4.07047075606 & -0.08 x_{10} & -0.32 x_{9} & -0.23 x_{12} & -2.77 x_{4} & -0.63 x_{5} & -0.46 x_{16} & +  3.64 x_{7} & +  0.84 x_{8}\\
 x_{17}   &  48.6005706134 & -1.06 x_{10} & -0.78 x_{9} & -1.44 x_{12} & -22.03 x_{4} & -6.30 x_{5} & -1.22 x_{16} & +  2.26 x_{7} & +  8.57 x_{8}\\
\hline
z    &  9.05649072753 & -0.07 x_{10} & -1.17 x_{9} & -1.07 x_{12} & -8.94 x_{4} & -9.48 x_{5} & -1.61 x_{16} & +  7.68 x_{7} & +  6.67 x_{8}\\
\end{array}\]


 $ x_{7} $ enters and $ x_{14} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  3.37371399177 & +  0.06 x_{10} & -0.11 x_{9} & +  0.13 x_{12} & -0.94 x_{4} & +  0.66 x_{5} & -0.07 x_{16} & -0.17 x_{14} & -0.09 x_{8}\\
 x_{1}   &  3.20344650206 & -0.02 x_{10} & -0.02 x_{9} & +  0.01 x_{12} & -1.44 x_{4} & -0.18 x_{5} & -0.09 x_{16} & -0.08 x_{14} & +  1.06 x_{8}\\
 x_{11}   &  74.6355452675 & +  0.11 x_{10} & -1.81 x_{9} & -1.01 x_{12} & -19.36 x_{4} & -12.50 x_{5} & -1.32 x_{16} & -1.22 x_{14} & -0.84 x_{8}\\
 x_{3}   &  6.94701646091 & +  0.00 x_{10} & -0.15 x_{9} & -0.00 x_{12} & -2.03 x_{4} & -0.51 x_{5} & -0.10 x_{16} & -0.21 x_{14} & +  1.12 x_{8}\\
 x_{13}   &  73.1005658436 & +  0.60 x_{10} & -2.52 x_{9} & +  0.49 x_{12} & -22.93 x_{4} & +  7.52 x_{5} & -1.87 x_{16} & -2.74 x_{14} & -1.23 x_{8}\\
 x_{7}   &  2.36702674897 & +  0.07 x_{10} & -0.02 x_{9} & +  0.08 x_{12} & -0.50 x_{4} & -0.07 x_{5} & +  0.01 x_{16} & -0.15 x_{14} & +  0.23 x_{8}\\
 x_{15}   &  57.404063786 & +  0.91 x_{10} & -0.86 x_{9} & +  0.91 x_{12} & -16.72 x_{4} & -6.44 x_{5} & -1.41 x_{16} & -1.53 x_{14} & +  1.35 x_{8}\\
 x_{6}   &  12.6761831276 & +  0.16 x_{10} & -0.38 x_{9} & +  0.05 x_{12} & -4.59 x_{4} & -0.87 x_{5} & -0.42 x_{16} & -0.55 x_{14} & +  1.67 x_{8}\\
 x_{17}   &  53.9390432099 & -0.91 x_{10} & -0.82 x_{9} & -1.26 x_{12} & -23.16 x_{4} & -6.45 x_{5} & -1.19 x_{16} & -0.34 x_{14} & +  9.08 x_{8}\\
\hline
z    &  27.2343106996 & +  0.43 x_{10} & -1.30 x_{9} & -0.47 x_{12} & -12.79 x_{4} & -9.99 x_{5} & -1.53 x_{16} & -1.15 x_{14} & +  8.41 x_{8}\\
\end{array}\]


 $ x_{8} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  37.0362352941 & +  0.63 x_{10} & -1.17 x_{9} & +  1.44 x_{12} & -10.36 x_{4} & +  7.23 x_{5} & -0.79 x_{16} & -1.87 x_{14} & -10.98 x_{2}\\
 x_{1}   &  42.3369411765 & +  0.65 x_{10} & -1.25 x_{9} & +  1.53 x_{12} & -12.38 x_{4} & +  7.46 x_{5} & -0.93 x_{16} & -2.07 x_{14} & -11.60 x_{2}\\
 x_{11}   &  43.6592941176 & -0.42 x_{10} & -0.84 x_{9} & -2.21 x_{12} & -10.70 x_{4} & -18.55 x_{5} & -0.66 x_{16} & +  0.35 x_{14} & +  9.18 x_{2}\\
 x_{3}   &  48.5016470588 & +  0.71 x_{10} & -1.46 x_{9} & +  1.61 x_{12} & -13.65 x_{4} & +  7.60 x_{5} & -0.99 x_{16} & -2.31 x_{14} & -12.32 x_{2}\\
 x_{13}   &  27.5181176471 & -0.18 x_{10} & -1.08 x_{9} & -1.28 x_{12} & -10.18 x_{4} & -1.38 x_{5} & -0.90 x_{16} & -0.44 x_{14} & + 13.51 x_{2}\\
 x_{7}   &  10.7703529412 & +  0.21 x_{10} & -0.28 x_{9} & +  0.41 x_{12} & -2.85 x_{4} & +  1.57 x_{5} & -0.17 x_{16} & -0.58 x_{14} & -2.49 x_{2}\\
 x_{15}   &  107.416 & +  1.76 x_{10} & -2.43 x_{9} & +  2.85 x_{12} & -30.71 x_{4} & +  3.33 x_{5} & -2.48 x_{16} & -4.06 x_{14} & -14.82 x_{2}\\
 x_{6}   &  74.4207058824 & +  1.22 x_{10} & -2.32 x_{9} & +  2.45 x_{12} & -21.86 x_{4} & + 11.19 x_{5} & -1.74 x_{16} & -3.67 x_{14} & -18.30 x_{2}\\
 x_{17}   &  390.156235294 & +  4.83 x_{10} & -11.41 x_{9} & + 11.80 x_{12} & -117.20 x_{4} & + 59.19 x_{5} & -8.39 x_{16} & -17.35 x_{14} & -99.66 x_{2}\\
\hline
z    &  338.690823529 & +  5.76 x_{10} & -11.11 x_{9} & + 11.63 x_{12} & -99.91 x_{4} & + 50.82 x_{5} & -8.20 x_{16} & -16.92 x_{14} & -92.32 x_{2}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{11} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  54.0560164396 & +  0.47 x_{10} & -1.49 x_{9} & +  0.58 x_{12} & -14.53 x_{4} & -0.39 x_{11} & -1.05 x_{16} & -1.74 x_{14} & -7.40 x_{2}\\
 x_{1}   &  59.8961361849 & +  0.48 x_{10} & -1.59 x_{9} & +  0.64 x_{12} & -16.68 x_{4} & -0.40 x_{11} & -1.20 x_{16} & -1.92 x_{14} & -7.91 x_{2}\\
 x_{5}   &  2.35370525408 & -0.02 x_{10} & -0.05 x_{9} & -0.12 x_{12} & -0.58 x_{4} & -0.05 x_{11} & -0.04 x_{16} & +  0.02 x_{14} & +  0.49 x_{2}\\
 x_{3}   &  66.3931298678 & +  0.54 x_{10} & -1.80 x_{9} & +  0.71 x_{12} & -18.04 x_{4} & -0.41 x_{11} & -1.26 x_{16} & -2.17 x_{14} & -8.55 x_{2}\\
 x_{13}   &  24.2594819494 & -0.15 x_{10} & -1.02 x_{9} & -1.12 x_{12} & -9.38 x_{4} & +  0.07 x_{11} & -0.85 x_{16} & -0.46 x_{14} & + 12.83 x_{2}\\
 x_{7}   &  14.4764695436 & +  0.17 x_{10} & -0.35 x_{9} & +  0.22 x_{12} & -3.76 x_{4} & -0.08 x_{11} & -0.23 x_{16} & -0.55 x_{14} & -1.71 x_{2}\\
 x_{15}   &  115.249131086 & +  1.68 x_{10} & -2.58 x_{9} & +  2.45 x_{12} & -32.63 x_{4} & -0.18 x_{11} & -2.60 x_{16} & -4.00 x_{14} & -13.18 x_{2}\\
 x_{6}   &  100.75672933 & +  0.97 x_{10} & -2.83 x_{9} & +  1.12 x_{12} & -28.32 x_{4} & -0.60 x_{11} & -2.14 x_{16} & -3.46 x_{14} & -12.76 x_{2}\\
 x_{17}   &  529.474541442 & +  3.50 x_{10} & -14.08 x_{9} & +  4.74 x_{12} & -151.34 x_{4} & -3.19 x_{11} & -10.50 x_{16} & -16.23 x_{14} & -70.36 x_{2}\\
\hline
z    &  458.307785981 & +  4.61 x_{10} & -13.40 x_{9} & +  5.57 x_{12} & -129.21 x_{4} & -2.74 x_{11} & -10.01 x_{16} & -15.95 x_{14} & -67.16 x_{2}\\
\end{array}\]


 $ x_{10} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  103.015730337 & -20.80 x_{5} & -2.43 x_{9} & -1.90 x_{12} & -26.53 x_{4} & -1.51 x_{11} & -1.79 x_{16} & -1.34 x_{14} & +  2.90 x_{2}\\
 x_{1}   &  110.278651685 & -21.41 x_{5} & -2.55 x_{9} & -1.91 x_{12} & -29.03 x_{4} & -1.56 x_{11} & -1.96 x_{16} & -1.52 x_{14} & +  2.69 x_{2}\\
 x_{10}   &  104.242696629 & -44.29 x_{5} & -2.00 x_{9} & -5.28 x_{12} & -25.54 x_{4} & -2.39 x_{11} & -1.58 x_{16} & +  0.84 x_{14} & + 21.92 x_{2}\\
 x_{3}   &  122.575280899 & -23.87 x_{5} & -2.88 x_{9} & -2.14 x_{12} & -31.80 x_{4} & -1.70 x_{11} & -2.11 x_{16} & -1.72 x_{14} & +  3.26 x_{2}\\
 x_{13}   &  8.38651685393 & +  6.74 x_{5} & -0.72 x_{9} & -0.31 x_{12} & -5.49 x_{4} & +  0.44 x_{11} & -0.61 x_{16} & -0.59 x_{14} & +  9.49 x_{2}\\
 x_{7}   &  32.6 & -7.70 x_{5} & -0.70 x_{9} & -0.70 x_{12} & -8.20 x_{4} & -0.50 x_{11} & -0.50 x_{16} & -0.40 x_{14} & +  2.10 x_{2}\\
 x_{15}   &  290.883146067 & -74.62 x_{5} & -5.95 x_{9} & -6.44 x_{12} & -75.67 x_{4} & -4.20 x_{11} & -5.26 x_{16} & -2.59 x_{14} & + 23.76 x_{2}\\
 x_{6}   &  201.474157303 & -42.79 x_{5} & -4.76 x_{9} & -3.98 x_{12} & -52.99 x_{4} & -2.91 x_{11} & -3.66 x_{16} & -2.65 x_{14} & +  8.42 x_{2}\\
 x_{17}   &  893.95505618 & -154.85 x_{5} & -21.06 x_{9} & -13.71 x_{12} & -240.64 x_{4} & -11.54 x_{11} & -16.02 x_{16} & -13.30 x_{14} & +  6.29 x_{2}\\
\hline
z    &  938.638202247 & -204.07 x_{5} & -22.60 x_{9} & -18.75 x_{12} & -246.91 x_{4} & -13.74 x_{11} & -17.28 x_{16} & -12.09 x_{14} & + 33.85 x_{2}\\
\end{array}\]


 $ x_{2} $ enters and Unbounded Dictionary!


 $ x_{2} $ enters and Unbounded Dictionary!
\end{document}
